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Finding the Third Proportional to 642.56 and 938.81

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Solution

The third proportional to 642.56 and 938.81 is: 1,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 938.81 = 938.81 : x
  2. Step 2: Convert to fraction form
    642.56/938.81 = 938.81/x
  3. Step 3: Cross multiply
    642.56x = 938.81 × 938.81
  4. Step 4: Simplify right side
    642.56x = 881,368.91
  5. Step 5: Solve for x
    x = 881,368.91/642.56
  6. Step 6: Final answer
    x = 1,371.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.